Vyšetrovanie priebehu funkcií
[{"question":"Ur\u010dte interval, na ktorom funkcia f: y = x + 1\/x rastie","answers":["(-\u221e, 1)","(-1, 1)","(-\u221e, 1)U(1, \u221e)","(-\u221e, 0)U(1, \u221e)"],"correct":"(-\u221e, 1)U(1, \u221e)","order":"1"},{"question":"Utr\u010dte hodnoty extr\u00e9mov funkcie (y-nov\u00e9 s\u00faradnice): f(x) = [1 - x + (x2<\/sup>)]\/[1 + x + (x2<\/sup>)]","answers":["max = -1\/3, min = -3","max = -1, min = 1","max = 3, min = -1\/3","max = 3, min = 1\/3"],"correct":"max = 3, min = 1\/3","order":"2"},{"question":"Urt\u010dte interval, na ktorom je funkcia f: y = x3<\/sup> - 5*(x2<\/sup>) + 3x - 5 konvexn\u00e1","answers":["(-\u221e, 5\/3)","(-2\/3, 3)","(-\u221e, -2\/3)","(5\/3, \u221e)"],"correct":"(5\/3, \u221e)","order":"3"},{"question":"Urt\u010dte interval, na ktorom je funkcia f: y = x3<\/sup> - 5*(x2<\/sup>) + 3x - 5 konk\u00e1vna","answers":["(3, \u221e)","(-\u221e, 5\/3)","(-\u221e, -5\/3)","(-\u221e, -2\/3)U(3, \u221e)"],"correct":"(-\u221e, 5\/3)","order":"4"},{"question":"Ur\u010dte nulov\u00e9 body funkcie f: y = (2x - 1)\/[(x - 1)2<\/sup>]","answers":["0.5","1","-1","-0.5"],"correct":"0.5","order":"5"},{"question":"Ur\u010dte interval, na ktorom je funkcia f: y = x\/(x + 1) z\u00e1porn\u00e1","answers":["(-\u221e, 0)","(1, \u221e)","(-\u221e, -1)","(-1, 0)"],"correct":"(-1, 0)","order":"6"},{"question":"Ur\u010dte body nespojitosti funkcie f: y = 5\/(x2<\/sup> + 1)","answers":["-1","1","1, -1","je spojit\u00e1 na R"],"correct":"je spojit\u00e1 na R","order":"7"},{"question":"Ur\u010dte asymptoty bez smernice funkcie f: y = ln x","answers":["x = 0","x = 1","x = -1","nem\u00e1 ABS"],"correct":"x = 0","order":"8"},{"question":"Ur\u010dte asymptoty so smernicou funkcie f: y = 2(x3<\/sup>)\/(x2<\/sup> - 1)","answers":["y = -1","nem\u00e1 ASS","y = 1","y = 2x"],"correct":"y = 2x","order":"9"},{"question":"\u010co plat\u00ed o funkcie f: y = (2x - 1)\/[(x - 1)2<\/sup>]","answers":["je p\u00e1rna, nie je periodick\u00e1","nie je p\u00e1rna, nie je nep\u00e1rna, je periodick\u00e1","je nep\u00e1rna","nie je p\u00e1rna, nie je nep\u00e1rna, nie je periodick\u00e1"],"correct":"nie je p\u00e1rna, nie je nep\u00e1rna, nie je periodick\u00e1","order":"10"}]